I'm trying to understand SmallGroup(40,3). Does it have a name? Any
insight on its properties and similarities to other groups would be
more than welcome. For example, I believe it's *similar* to
SmallGroup(104,3), but it doesn't help.

It might not be technically a proper question for this list, but then
again, how can I describe this group on sci.math or NMBRTHRY other
than SmallGroup(40,3), and that doesn't mean much to a GAP non-user,
or should I say non-GAP user?